Apparaît dans la collection : Higher Structures in Holomorphic and Topological Field Theory

It is believed that certain physical dualities of 3d N=4 theory and 4d N=4 gauge theory underlie symplectic duality and geometric Langlandsduality, respectively. By setting up a mathematical model for those physical theories and studying their physical relationship as studied by Gaiotto and Witten in our framework, we suggest a program that finds new relationships between symplectic duality and geometric Langlands theory. In this series of talks, we aim to provide a global overview of our program in progress.